Geodesic
Instability of systems with linear delay reducible to singularly perturbed ones
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2010), pp. 3-13

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We investigate the stability of linear systems of differential equations with linear delay in the case when one of subsystems is singular. We establish sufficient conditions for the instability of solutions to such systems. We solve the considered problem with the help of the Laplace transformation.
Keywords: instability, functional-difference equation, asymptotic representation, meromorphic vector function.
Mots-clés : Laplace transformation 
@article{IVM_2010_2_a0,
     author = {B. G. Grebenshchikov and S. I. Novikov},
     title = {Instability of systems with linear delay reducible to singularly perturbed ones},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--13},
     publisher = {mathdoc},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_2_a0/}
}
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B. G. Grebenshchikov; S. I. Novikov. Instability of systems with linear delay reducible to singularly perturbed ones. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2010), pp. 3-13. http://geodesic.mathdoc.fr/item/IVM_2010_2_a0/